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Finding the Third Proportional to 23,968 and 51,011

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Solution

The third proportional to 23,968 and 51,011 is: 108,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968 : 51,011 = 51,011 : x
  2. Step 2: Convert to fraction form
    23,968/51,011 = 51,011/x
  3. Step 3: Cross multiply
    23,968x = 51,011 × 51,011
  4. Step 4: Simplify right side
    23,968x = 2,602,122,121
  5. Step 5: Solve for x
    x = 2,602,122,121/23,968
  6. Step 6: Final answer
    x = 108,566.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.